This paper deals with the Cauchy problem for a PDE-ODE model, where a system of two conservation laws, namely the Two-Phase macroscopic model proposed in [Rinaldo M. Colombo, Francesca Marcellini, and Michel Rascle, SIAM J. Appl. Math., 70(7):2652—2666, 2010], is coupled with an ordinary differential equation describing the trajectory of an autonomous vehicle (AV), which aims to control the traffic flow. Under suitable assumptions, we prove a global-in-time existence result.
Garavello, M., Marcellini, F. (2024). AUTONOMOUS VEHICLES DRIVING TRAFFIC: THE CAUCHY PROBLEM. COMMUNICATIONS IN MATHEMATICAL SCIENCES, 22(3), 817-844 [10.4310/CMS.2024.v22.n3.a9].
AUTONOMOUS VEHICLES DRIVING TRAFFIC: THE CAUCHY PROBLEM
Garavello M.;Marcellini F.
2024
Abstract
This paper deals with the Cauchy problem for a PDE-ODE model, where a system of two conservation laws, namely the Two-Phase macroscopic model proposed in [Rinaldo M. Colombo, Francesca Marcellini, and Michel Rascle, SIAM J. Appl. Math., 70(7):2652—2666, 2010], is coupled with an ordinary differential equation describing the trajectory of an autonomous vehicle (AV), which aims to control the traffic flow. Under suitable assumptions, we prove a global-in-time existence result.
| File | Dimensione | Formato | |
|---|---|---|---|
|
Garavello-2024-Communications in Mathematical Sciences-VoR.pdf
Solo gestori archivio
Tipologia di allegato:
Publisher’s Version (Version of Record, VoR)
Licenza:
Tutti i diritti riservati
Dimensione
513.12 kB
Formato
Adobe PDF
|
513.12 kB | Adobe PDF | Visualizza/Apri Richiedi una copia |
|
Garavello-2023-Arxiv-Preprint.pdf
accesso aperto
Tipologia di allegato:
Submitted Version (Pre-print)
Licenza:
Creative Commons
Dimensione
387.88 kB
Formato
Adobe PDF
|
387.88 kB | Adobe PDF | Visualizza/Apri |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
